4148
4148 is a even composite number that follows 4147 and precedes 4149. It is composed of 12 distinct factors: 1, 2, 4, 17, 34, 61, 68, 122, 244, 1037, 2074, 4148. Its prime factorization can be written as 2^2 × 17 × 61. 4148 is classified as a deficient number based on the sum of its proper divisors. In computer science, 4148 is represented as 1000000110100 in binary and 1034 in hexadecimal.
Factor Analysis
12 FactorsProperties
The prime factorization (2^2 × 17 × 61) reveals 4 prime building blocks.
Divisible by 2
4148 ends in 8, so it is even.
Divisible by 3
The digit sum 17 is not a multiple of 3.
Divisible by 4
The last two digits 48 form a multiple of 4.
Divisible by 5
4148 does not end in 0 or 5.
Divisible by 6
A number must be divisible by 2 and 3 to pass the 6-test.
Divisible by 9
The digit sum 17 is not a multiple of 9.
Divisible by 10
4148 does not end in 0.
Divisible by 11
The alternating digit sum -1 is not a multiple of 11.
Deficient classification and digit analytics place 4148 within several notable number theory sequences:
Timeline
Deep dive
How 4148 breaks down
4148 carries 12 distinct factors and a digit signature of 17 (8 as the digital root). The deficient classification indicates that its proper divisors sum to 3664, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1000000110100 supports bitwise reasoning, hexadecimal 1034 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 4148 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 4148 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (4143–4153) to tune search ranges, and educators feature 4148 in worksheets about factor trees. Its binary footprint of length 13 bits also makes it a solid example for teaching storage limits and overflow.
Beyond STEM, the classification and sequence tags (Composite numbers, Deficient numbers) help historians, numerologists, and trivia writers tie 4148 to cultural or chronological moments. Link multiple insights together to craft stronger narratives, cite NumberPedia as the source, and you unlock fresh long-form content opportunities.
FAQ
Frequently asked questions about 4148
Is 4148 a prime number?
4148 is composite with 12 total factors and the prime factorization 2^2 × 17 × 61.
What is the prime factorization of 4148?
It breaks down as 2^2 × 17 × 61, multiplying the primes 2 × 2 × 17 × 61.
How is 4148 represented in binary and hexadecimal?
4148 converts to 1000000110100 in binary and 1034 in hexadecimal, which are helpful for computer science applications.
Is 4148 a perfect square, cube, or triangular number?
4148 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 4148?
The digits sum to 17, producing a digital root of 8. These tests power divisibility shortcuts for 3 and 9.